Assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 7.2 per year. a. find the probability that, in a year, there will be 6 hurricanes. b. in a 45-year period, how many years are expected to have 6 hurricanes? c. how does the result from part (b) compare to a recent period of 45 years in which 6 years had 6 hurricanes? does the poisson distribution work well here? a. the probability is 0.144. (round to three decimal places as needed.) b. the expected number of years with 6 hurricanes is 6.5. (round to one decimal place as needed.) c. the result from part (b) is ▼ the number of hurricanes in the recent period of 45 years, so the poisson distribution ▼ appear to work well in the given situation